What is the carrying capacity of an environment for a population with rmax = 3, that exhibits no population growth when N = 3000?

Answers

Answer 1

Let's define what our logistical growth formula is:

[tex]\frac{dN}{dt}=r_{max}N\bigg(\frac{K-N}{N}\bigg)[/tex][tex]\frac{dN}{dt}=r_{max}N\bigg(\frac{K-N}{N}\bigg)[/tex]

Where r (max) is the max per capita growth rate of population, N is the population size, and K is the carrying capacity.

If we are given that r (max) is equal to 3 and that the given population exhibits no growth when N = 3000, we can find what the carrying capacity is by substituting into our formula:

[tex]\frac{dN}{dt}=3(3000)\bigg(\frac{K-3000}{K}\bigg)[/tex]

Let's simplify this a little more:

[tex]\frac{dN}{dt}=9000\bigg(\frac{K-3000}{K}\bigg)[/tex]

If we are trying to find the carrying capacity, then recall that the amount of change in the population with respect to time (dN/dt) must equal 0. Therefore, we can set our derivative to be equal to 0 and find the value of K:

[tex]0=9000\bigg(\frac{K-3000}{K}\bigg)[/tex]

Interpreting this, it means that whatever the growth is 0, it is dependent on the value K carrying capacity. When we solve this out, we can obtain an answer for the carrying capacity:

[tex]K=3000[/tex]

∴ the carrying capacity K of this environment is equal to 3000 organisms.


Related Questions

Write a short paragraph describing a carnivore through the eyes of its intended meal. Such as fox and mouse.

Answers

Carnivores have binocular vision, which means their eyes are at the very front of face, resulting in a smaller field of view but allowing for depth perception, which is required to catch prey.

What are carnivores?

A carnivore is an organism that primarily consumes meat or animal flesh. Carnivores are sometimes referred to as predators.

Carnivores have razor-sharp teeth that are precisely shaped to slice and rip the meat they consume. Canines make up the majority of their teeth.

Carnivores have binocular vision, which implies their eyes are located at the in front their faces, resulting in a narrower field of view but allowing for depth perception, which is necessary for prey capture.

Thus, this way, carnivores look at their meal.

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California has had to provide tight restrictions on homes and businesses" water use. What could happen that would limit the availability of clean fresh water in South Florida?

Answers

Mandatory water restrictions were issued by the California State Water Resources Control Board for 2022, which will have a variety of effects on the state as well as individuals and companies in the Sacramento region.

California's primary sources of fresh water are two.

1) Ground water: This water source is found at a certain depth inside the earth. This water is retrieved in California by pumping it through a machine.

2) Surface water: This water includes lakes, rivers, and other water bodies that flow from a mountainous area to a lower region. When snow melts in California's mountainous regions, large reservoirs and dams are built to store the water until it is needed.

What water restrictions are necessary in California?

As the drought continues and the hotter summer months draw near, California Governor Gavin Newsom warned to impose mandatory water restrictions in Southern California with steep fines if residents don't use less on their own. On June 1st, 2022, new water limitations will be imposed on companies and residents.

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What happens to pressure and temperature as we go from the Earth's crust to the Earth's core?

Answers

Answer:Temperature and pressure progressively increase with increased proximity to Earth’s core. Recent studies indicate the core’s temperature may be close to 11,000 degrees Fahrenheit; that’s nearly 2,000 degrees warmer than previously thought and hotter than the surface of the Sun, according to a 2013 Forbes article.

Explanation:

What’s the correct answer answer asap for brainlist

Answers

Answer:

C

Explanation:

The answer isnt A becuase we want the organism to live its life span out and its not B becuase if its more vunerable its more likely to die and its not D becuase if it lowers fertilty rate it wont have a big change just less change of haveing kids witch isnt a big plus so C gives u a gentic advantage like supeheros so C seems like a plus side

Hope This Helps <3 <3

C
The question asks “when is mutation beneficial” aka when is it good.
C is the only answer that provides a positive outcome

where does the matter in a pumpkin come from

Answers

The matter in a pumpkin come from pulp. Pulp is the name for this stringy substance. The pumpkin is filled with many seeds. To scrape out the insides, we use a spoon and our hands. It has a dripping, gooey, sticky sensation.

What's inside a pumpkin that's white?

Winter squash and several pumpkin types are badly harmed by white mould. Fruit and stems are equally afflicted by the illness. Pumpkin is frequently infected with white mould via the fruit's blossom end. Where cotyledons are fading or where the plant has wounds is where stem infections begin.

It turns out that the insides of pumpkins have a rich flavour and can be utilised in any dish that calls for chicken or vegetable broth.

In the Oaxaca Highlands of Mexico, researchers uncovered the earliest domesticated pumpkin seeds, which date back over 7,500 years to Central America.

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Hi can someone please help describe this object that was viewed under high magnification

Answers

Explanation:

The cells on the skin of a body.

The given image shows the brain cells stained with pink colour with small dotted cells scattered around observed under high magnification.

Before brain tissue can be observed under a microscope, it must be thoroughly dyed with chemicals, thinly sliced, and studied under an electron microscope, where slices that resemble thin plates coated in microscopic soap bubbles are visible to researchers. The soap-bubble boundary indicates where one neuron ends and another begins, and some bubbles serve as the cross-section of a neuron.

However, there are issues with this type of imaging: the staining frequently does not reveal enough structure, the slices may be twisted, and the images may be hazy.

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13. A population diverges and becomes reproductively isolated due to physicalbarriers. As time goes on they are no longer able to breed successfully withone another. This is calledA. allopatric speciation.B. coevolution.C. sympatric speciation

Answers

When a population is isolated due to physical barriers, which means a geographyc isolation, and then the two resulting populations aren't able to breed succesfully with one another, is called allopatric speciation.

The correct answer is option A.

A community group wants
to buy a statue for the city. What factors
should they take into consideration when
choosing the type of rock and location for the
statue? Support your answers with evidence.

Answers

A community group wants to build a monument in a city park. They want the monument to last for a long time. They ask you for advice on choosing long-lasting ...

Answer:

Marble and Warm, Dry Place

Explanation:

Marble is strong and long-lasting. A Warm, Dry area would help benifit the statue.

Compare the age of the igneous intrusions to the surrounding rock layers.Name an area in the rock correlation where one might find rocks changed by contact with magma ?compare the age of the fault like to the rock in which it cuts through?

Answers

Thank you for learning with Brainly Tutor! Unfortunately, currently, we have only Math, Physics, Chemistry, and Biology tutors answering your questions so if you want to ask anything from other subjects, please post it on Brainly.com. As soon as we add a new subject you will have an option to select it in your app!

Chapter 12. If there are 20 duplicated chromosomes in a cell at prophase (of mitotic cell division), how
many chromosomes are there in each daughter cell following cytokinesis?

Answers

Cyto=12 so 20x12=240
Answer is 240 chromies

During prophase, the duplicated chromosomes condense and become visible. The cell then proceeds to the metaphase, anaphase, and telophase stages of mitosis, where the chromosomes are separated and divided between the two daughter cells.

What is cytokinesis?

The cytoplasm divides in a process called cytokinesis, resulting in two separate cells, each with a complete set of chromosomes.

Since the cell in question has 20 duplicated chromosomes at prophase, it has a total of 40 chromatids.

During anaphase, the spindle fibers pull the sister chromatids apart, separating them into individual chromosomes.

Therefore, each daughter cell will receive 20 chromosomes, with each chromosome consisting of a single chromatid.

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Help please thank you!!

Answers

Answer:

four non metals are÷

Argon

Bromine

Hydrogen

sulfur

According to the diagram, how would the earth, moon, and sun be positioned if the low tide is at its highest for the month?

A
B
C
D

Answers

It should be A if the low tide is at its highest for the month.

Which planet is not a gas planet?A. UranusB. JupiterC. VenusD. Neptune

Answers

Considering the therminology of ice and gas planet, between the alternatives there is three gas giants from our solar system, that are Uranus , Neptune, and Jupiter, being Saturn the four gas planets in our solar system. Therefore, the option that is not a gas planet is Venus (c).

The nucleotides that make up a DNA molecule have a very specific chemical composition. Which substance is not a component of the nucleotides that make up DNA?

CHECK ALL THAT APPLY!

A.Phosphate group
B.Amino acid
C.Nitrogen containing base
D. Deoxyribose sugar

Answers

The answer is B, amino acid.

I hope this helps!

what problems existed in the gilded age

Answers

poverty, unemployment, and corruption.

An enzyme catalyzes the reaction X → Y + Z. In a series of experiments, it was found that substance A inhibits the enzyme.
When the concentration of X is high and A is low, the reaction proceeds rapidly and Y and Z are formed.
As the concentration of A increases, the reaction slows regardless of whether X is present in high or low concentrations.
If the concentration of A is high (relative to X), the reaction stops.
If the concentration of A decreases again, the reaction will ultimately resume.

What type of enzyme regulation is described here? Explain your answer.

Answers

The correct answer is If the concentration of A is high (relative to X), the reaction stops.

What is enzyme?

Chemical reactions can be accelerated by catalysts, which don't participate in the reaction themselves. In living organisms, enzymes operate as catalysts for biological reactions.

Enzymes' essential job is to lower a reaction's activation energy, or the amount of energy needed for it to begin. Enzymes bind to reactant molecules and hold them in place to enable the chemical bond-forming and bond-breaking processes.

Therefore, The correct answer is If the concentration of A is high (relative to X), the reaction stops.

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Select the word or phrase that best completes each of the following sentences about healthcare-associated infections. is a lung infection that occurs when bacteria enter the lungs through a ventilator or other equipment being used to help a patient breathe. A is any inanimate object, such as a doorknob or food, that is capable of spreading infection. can occur when bacteria or viruses enter the bloodstream through devices such as the catheters used to take blood or give fluids. Urinary tract infections can occur when enter(s) the urinary tract through a catheter being used to drain urine from a patient’s body.

Answers

Ventilator-associated pneumonia is a lung infection that occurs when bacteria enter the lungs through a ventilator or other equipment being used to help a patient breathe. Fomite is any inanimate object, such as a doorknob or food, that is capable of spreading infection. Catheter-associated bloodstream infection (CLABSIs) can occur when bacteria or viruses enter the bloodstream through devices such as the catheters used to take blood or give fluids. While, Urinary tract infections (UTIs) can occur when infection enter(s) the urinary tract through a catheter being used to drain urine from a patient’s body.

What are these healthcare-associated infections?

Ventilator-associated pneumonia happens when bacteria enter the lungs through a machine that is used to help a patient breathe. This bacteria enters through the tube placed in a patient’s mouth or nose.

Fomites are objects that are non-living such as door handles, bowls, water taps, and so on, that have the capacity to transfer pathogens deposited by the infected host into a healthy host.

Catheter-associated bloodstream infection (CLABSIs) occurs when the bloodstream is infected with bacteremia originating from an intravenous catheter.

Urinary tract infections (UTIs) occur when bacteria enters the bladder or  kidney through catheter.

In summary, Ventilator-associated pneumonia, fomite, catheter-associated bloodstream infection (CLABSIs), and urinary tract infections (UTIs) are the four word or phrase that best completes the healthcare-associated infections raised in the question.

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Plants are incredible organisms. In fact, if humans stopped existing, they would still be able to survive. Plants are able to perform a valuable process known as [A]. This important process requires certain molecules like [B] and [C] (alphabetical). These molecules, along with [D] are able to make special molecules for themselves and other organisms. The molecules made by plants are [E] which humans use to breath and [F] which is used for food. Plants make their own food, which sometimes is stored in the plant for later use in the form of [G], large complex molecules. These molecules allow for growth of the plant. It is often though that water and soil contribute to the mass of the plant, but it is the molecules of [H] that are in the air and contribute to the growth and size of the plant.

Choose: Photosynthesis, Oxygen, CO2, Water, Sunlight, Cellulose, Gluclose.​

Answers

Answer:

A: Photosynthesis

B: CO2

C: Water

D: Sunlight

E: Oxygen

F: Glucose

G: Cellulose

H: CO2

Explanation:

help help help.......................​

Answers

Mitosis occur in series of stages and phases. There are 4 stages and five phases of mitosis we have learnt so far.

What is mitosis and how come it have four stages?Mitosis is the process of multiplying have a significant role in human body for repairing and proliferation of cells.Mitosis occur in diploid set of cells and Meiosis occur in haploid set of cells.Except for the zygote in human female body in which mitosis occurs through various stages 2, 4 , 8 , 16 and through mitosis zygote grows and develop into embryo.The chromosomes of mitotic division in the metaphase stage aligns in the middle that is on the metaphasic plate.

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Consider the following:Carly recently went through a fitness assessment. This assessment told her what her maximal capabilities are, and she has set short-term goals in order to improve. What should Carly do to see if she is improving and on her way to her goal?

Answers

To see if she is improving and on her way to her goal, Carly should get reassessed. If she is improving, her results should be better than her previous assessment.

Subject: English
Question: Re-read the paragraph that begins on page 2, and ends on page 3.
Click the underlined phrase that uses literary device to make Northridge Junction seem like a desperate person.

Answers

The phrase '' it clung to an exposed ledge over the valley from which the train had lifted'' Northridge Junction seems like a desperate person.

What is despair?

Despair is an emotional state of extreme tension, anxiety and fear.

The person immersed in this state cannot get out easily, because his negative perception contributes to his always being down. When recurrent, it becomes clinical and can take control of emotions.

A hallmark of clinical despair is the meaninglessness of feeling. There are no imminent threats, suffering or dangerous circumstances. Even so, the person experiences this state again and again.

What are the causes for despair?

Despair is associated with some mental disorders, such as depression, anxiety, post-traumatic stress disorder, and especially panic syndrome.

Commonly, it is also caused by negative events in the person's life, such as trauma, divorce, dismissal, death of a loved one, abuse, use of chemical substances, among others.

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Which major organic compound can both form muscle tissue
and protect the body from antigens?

Answers

Answer:

Antibodies

Explanation:

The major compound that can form muscle tissue and protect the body from antigens is protein.

What are proteins?Muscles, bones, skin, hair, and virtually all other human organs and tissues include protein. It serves as the foundation for enzymes, which fuel numerous chemical reactions, as well as hemoglobin, which carries oxygen in your blood.The twenty-plus fundamental building blocks of protein are known as amino acids. Our bodies manufacture amino acids in one of two ways since we are unable to store them: either from scratch or by altering other amino acids. Histidine, isoleucine, leucine, lysine, methionine, phenylalanine, threonine, tryptophan, and valine are some of the necessary amino acids that must be absorbed from the diet. Proteins are essential for carrying out complicated activities as well as for the synthesis and renewal of DNA. Proteins called enzymes to help break down food. Numerous hormones that aid in maintaining the balance of the body's constituent parts are linked to the production of proteins.  Cells communicate with one another and with the outside world using surface receptors. Proteins make up these receptors.The immune system uses antibodies, which are proteins found in the body, to mend and heal the body after foreign infections have been introduced. Proteins that enable communication between cells and organs.

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The splitting of a water molecules during photosynthesis results in the release of_____

Answers

Answer:

H+ ions

Explanation:

During Light reactions of Photosynthesis the chlorophyll will be activated by light. This light activated chlorophyll will split the water molecule. This process is called Photolysis. Water molecule is split to release H+ ions and also oxygen.

The membrane of mitochondria contains embedded proteins.

What is the purpose of these proteins?
Responses

facilitate the synthesis of new proteins
facilitate the synthesis of new proteins
bind to nucleotides to form RNA
bind to nucleotides to form , R N A
help in the production of ATP
help in the production of , A T P
help break down organic material

Answers

The membrane of mitochondria contains embedded proteins. The purpose of these proteins is to (3) help in the production of ATP.

Mitochondria is a double membranous organ that is involved in the synthesis of energy component ATP. The inner membrane of the organelle is folded into finger like projections called cristae. They increase the surface area of the mitochondria so that more and more ATP can be produced.

ATP is Adenosine Triphosphate. It is a high energy compound. It releases energy when the 2 phosphate bonds of the triphosphate group are broken down. This energy is then used to perform various life processes of the body.

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What is the function of ATP in this image? •It releases the potassium ions from the protein•It allows Sodium to be moved into the cell•It allows the protein to revert to its original shape•It changes the shape of the protein

Answers

Sodium ions bind to the pump and a phosphate group from ATP attaches to the pump, causing it to change its shape. In this new shape, the pump releases the three sodium ions and now binds two potassium ions. Once the potassium ions are bound to the pump, the phosphate group detaches. This in turn causes the pump to release the two potassium ions into the cytoplasm.

The ATP here changes the shape of the protein.

Write a narrative that describes a “Magic school bus” journey from the smallest level of biological organization to the largest. (atom to biosphere). Describe the types of molecules and substances that the character would encounter along the way. go from atom, organelle, cell, tissues, organs/organ system, organisms/populations/communites, ecosystem, to biosphere.

Answers

Living things are highly organized and structured, following a hierarchy that can be examined on a scale from small to large. The atom is the smallest and most fundamental unit of matter. It consists of a nucleus surrounded by electrons. Atoms form molecules which are chemical structures consisting of at least two atoms held together by one or more chemical bonds. Many molecules that are biologically important are macromolecules, large molecules that are typically formed by polymerization.

In larger organisms, cells combine to make tissues, which are groups of similar cells carrying out similar or related functions. Organs are collections of tissues grouped together performing a common function. Organs are present not only in animals but also in plants. An organ system is a higher level of organization that consists of functionally related organs. Mammals have many organ systems. For instance, the circulatory system transports blood through the body and to and from the lungs; it includes organs such as the heart and blood vessels. Furthermore, organisms are individual living entities. For example, each tree in a forest is an organism. Single-celled prokaryotes and single-celled eukaryotes are also considered organisms and are typically referred to as microorganisms.

All the individuals of a species living within a specific area are collectively called a population. For example, a forest may include many pine trees. All of these pine trees represent the population of pine trees in this forest. Different populations may live in the same specific area. For example, the forest with pine trees includes populations of flowering plants and also insects and microbial populations. A community is the sum of populations inhabiting a particular area. For instance, all of the trees, flowers, insects, and other populations in a forest form the forest’s community. The forest itself is an ecosystem. An ecosystem consists of all the living things in a particular area together with the abiotic, non-living parts of that environment such as nitrogen in the soil or rainwater. At the highest level of organization, the biosphere is the collection of all ecosystems, and it represents the zones of life on earth. It includes land, water, and even the atmosphere to a certain extent. Taken together, all of these levels comprise the biological levels of the organization, which range from organelles to the biosphere.

The endocrine system’s hormones are ____ messengers that travel through the ____

A. Chemical;Body’s organs
B. Electrical; bloodstream
C. Electrical; neural networks
D. Chemical; bloodstream

Answers

Answer: D) Chemical; bloodstream.

Explanation:

- Honestly I don’t know how to explain this besides the fact that it’s just how the system works

but hope this helps :)

Cell membranes are said to be selectively permeable. Which statement best explains what selectively permeable means? *a. The cell membrane prevents any harmful substance from entering the cell.b. The cell membrane lets certain substances enter the cell and keeps certain substances out of the cell.c. The cell membrane allows only large molecules to diffuse into the cell.d. The cell membrane has pores that let only water and glucose into the cell and carbon dioxide out.e. I don't know and would rather not guess

Answers

Well, we have to consider that selective permeability gives the cell the capacity of selecting what enters, and what exits from the extracellular media, and from the cytoplasm. So beyond avoiding toxic or harmful substances to get in, the cell membrane lets certain substances enter and get out of the cell, like carbohydrates, CO2, and other molecules, like water.

Having this in mind, we could say that the answer is the b option.

B. The cell membrane lets certain substances enter the cell and keeps certain substances out of the cell.

biology homework 8 questions.

Answers

Facilitated diffusion is a sort of passive transport that permits the movement of specific molecules.

Diffusion of solutes through transport proteins within the plasma film is alluded to as encouraged diffusion. Passive transport could be a subset of encouraged diffusion.

Because the arrangement is traveling down the concentration angle, helped dissemination is still detached transport indeed when it joins transport proteins.

Passive transport incorporates both supported dissemination and basic diffusion. They transport compounds from a high-concentration zone to a low-concentration area.

The previous, in any case, varies from the last mentioned within how particles pass the membrane. Membrane proteins are required for encouraging dissemination to move natural particles.

Facilitated diffusion is the method of unconstrained active transport of atoms or particles over an organic film using particular transmembrane fundamental proteins.

So, facilitated diffusion is the detached development of atoms along the concentration angle. It could be a specific handle, i.e., the layer permits as it were particular particles and particles to pass through it.

It, in any case, avoids other atoms from passing through the membrane. Molecules or particles over an organic film using particular a transmembrane necessarily proteins.

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Use the table below to determine the amino acids that correspond with the mRNA sequence GAAUUUACGAAA



A) glutamic acid—tyrosine—arginine – glycine



B) glycine—aspartic acid—valine---histidine



C) leucine—lysine—cysteine---phenylalanine



D) glutamic acid—phenylalanine—threonine—lysine

Answers

Answer:

D) glutamic acid-phenylalanine-theorine-lysine

Explanation:

GAA codes for for glutamic acid, which neither B or C have.  UUU codes for phenylalanine, which is the second protein in the final sequence

Other Questions
I only need the answer THANK YOU!! find the number that makes the ratio equivalent to 3:5._:60 put the following events in order arrange responses in the correct order to answer the question. select a response, navigate to the desired position and insert response at that position. responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. responses can be moved using the up and down arrow keys or by dragging with a mouse. 25 Points + BrainliestI'm sorry, I dont have as much points as before and I can't use that much :(Read the summary of the United States v. Wong Kim Ark Supreme Court case.Wong Kim Ark was born in 1873 in the United States to parents who were Chinese citizens living and working in San Francisco. In 1895, Wong was denied entry to the United States when returning from a trip to China. US officials claimed that Wong was not an American citizen because China traced citizenship through bloodlines. Rather than accept the decision, Wong challenged the ruling on the grounds of the 14th Amendment. The case eventually reached the Supreme Court. In 1898, the court ruled in a 62 decision that Wong was an American citizen based on his birth in the United States. How did Wongs case affect how the 14th Amendment is applied?It extended the equal protection clause.It outlined the requirements for naturalization.It explained the meaning of due process of law.It protected citizenship for second-generation Americans. the gas which is supplied to the heating system in flat has 400 kj of chemical potential energy. of this, 320 kj is transferred to the thermal store of the fluid inside the radiators in the flat. calculate the efficiency of the heating system Find the slope of the line passing through the two points on the line (1,2) and (5,1) I need some help with my math please. The temperature in a town is 38.2 F during the day and -17.2 at night. Find the difference in the temperatures. jana, a 15-month old child, looks at herself in a mirror. without her knowledge, an adult applies a dot of lipstick to janas nose. if jana tries to rub the lipstick off her own nose in this test, what developmental milestone has jana reached? 3. Which of the following quadratic functions has a maximum point? Fill in the blanks with the missing pronouns (first blank) and the missing form of gustar (second blank) to complete the sentences below. Do notcapitalize or use punctuation, as it will confuse the system.1. Ami2. Ati3. A mis amigos y a mi4. A mi madre5. A Julia ya Csarel caf.los gatos.bailar.el verano.la playa. Montraie is going to invest in an account paying an interest rate of 4.6% compounded annually. How much would Montraie need to invest, to the nearest ten dollars, for the value of the account to reach $1,610 in 15 years? What is the purpose of writing the first sentence that leads your story Tonya spends 55% of her savings on a new dress. If she saved $120, how much was the dress? mathematical representation.a50/23 = bb.0.55 x 120 = dc.190x = 45; change the decimal to a %d.x/45 = 190; change the decimal to a %e.55d = 120f.23 x 50 = bg.23/50 = bh.2.50/45 = pi.2.50p = 45j..23 x 50 = bk..45 x 190 = xl..55d = 120 PLEASE HELP!!!Assignment name: Trigonometry, Evaluation of FunctionsHi, can someone help find the GRAPHS that belong to these problems, please! I only need a picture of a graph for each problem that I've attached below :) the sum of the interior angles of an octagon is 1080 degrees. each angle is six degrees larger than the angle just smaller than it. what is the measure of the fourth angle? True or False? O(N) is called log time. What was the Monsieur's main concern? Which two types of rocks do we get from the deep mineFor a child under 7. Plssss answer What is the value of this expression